If p: Arjun is the fastest q: Azad is the captain. Then which of the following denotes the compound statement: "Arjun is the fastest OR Azad is not the captain”

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Solution

The correct option is D

The connective used in the compound statement is OR which is denoted by the symbol ' $\lor$ ' and the second simple statement q is negated. Hence the denotation is given by $p \lor \sim q$ .

Try constructing the truth table too for $p \lor \sim q$ .

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If p: Arjun is the fastest q: Azad is the captain. Then which of the following denotes the compound statement: "Arjun is the fastest OR Azad is not the captain”

The correct option is D The connective used in the compound statement is OR which is denoted by the symbol '∨' and the second simple statement q is negated. Hence the denotation is given by p∨∼q. Try constructing the truth table too for p∨∼q.

The correct option is D

The connective used in the compound statement is OR which is denoted by the symbol ' $\lor$ ' and the second simple statement q is negated. Hence the denotation is given by $p \lor \sim q$ .

Try constructing the truth table too for $p \lor \sim q$ .